Integrability of Hamiltonian systems and the Lamé equation |
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Institution: | Institute of Physics, University of Zielona Góra, Podgórna 50, 65- 246 Zielona Góra, Poland |
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Abstract: | We study the integrability of Hamiltonian systems with two degrees of freedom. We investigate the normal variational equations and obtain a necessary condition for integrability of these systems. As an application we study the integrability of the Hénon–Heiles system, whose normal variational equation is of Lamé type. |
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